# How do you solve 18\leq x \div 6?

Mar 11, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this inequality as:

$18 \le \frac{x}{6}$

Next, multiply each side of the inequality by $\textcolor{red}{6}$ to solve for $x$ while keeping the inequality balanced:

$\textcolor{red}{6} \times 18 \le \textcolor{red}{6} \times \frac{x}{6}$

$108 \le \cancel{\textcolor{red}{6}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}}}$

$108 \le x$

To state this solution in term so of $x$ we must reverse or "flip" the inequality:

$x \ge 108$